Updated: Sep 03, 2025
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1. When calculating the implied volatility from an option price we use the bisection method and know initially that the volatility is somewhere between 1% and 100%. How many iterations do we need in order to determine the implied volatility with accuracy of 0.1%?
A) 100
B) 5
C) 25
D) 10
2. Suppose 60% of capital is invested in asset 1, with volatility 40% and the rest is invested in asset 2, with volatility 30%. If the two asset returns have a correlation of -0.5, what is the volatility of the portfolio?
A) 26.33%
B) 20.78%
C) 36.33%
D) 36%
3. Calculate the determinant of the following matrix:
A) 4
B) -4.25
C) 4.25
D) 2
4. What is the maximum value of the function F(x, y)=x2+y2 in the domain defined by inequalities x 1, y -2, y-x 3 ?
A) -25
B) 17
C) 1
D) 29
5. Which of the following statements about skewness of an empirical probability distribution are correct?
1. When sampling returns from a time series of asset prices, discretely compounded returns exhibit higher skewness than continuously compounded returns
2. When the mean is significantly less than the median, this is an indication of negative skewness
3. Skewness is a sign of asymmetry in the dispersion of the data
A) Statements 1 and 3 are correct
B) Statements 1 and 2 are correct
C) All three statements are correct
D) Statements 2 and 3 are correct
Solutions:
Question # 1 Answer: D | Question # 2 Answer: B | Question # 3 Answer: D | Question # 4 Answer: D | Question # 5 Answer: C |
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